5 papers
Characteristic classes on a noncommutative background: a new approach
Dimitry Gurevich, Vladimir Roubtsov, Pavel Saponov
We introduce analogues of partial derivatives with respect to the generators of the enveloping algebras U(gl(N)) and their q-deformations, the so-called modified reflection equatio…
Representations of Spectrum of GL(m) type Quantum Matrices
Dimitry Gurevich, Pavel Saponov, Mikhail Zaitsev
In the present paper we are dealing with reflection equation algebras corresponding to even skew-invertible Hecke symmetries. Our main result consists in computing th…
Wick theorem and matrix Capelli identity for quantum differential operators on Reflection Equation Algebras
Dimitri Gurevich, Pavel Saponov, Mikhail Zaitsev
Quantum differential operators on Reflection Equation Algebras, corresponding to Hecke symmetries R were introduced in previous publications. In the present paper we are mainly int…
Braided Gelfand-Zetlin algebras and their semiclassical counterparts
Dimitry Gurevich, Pavel Saponov
We construct analogs of the Gelfand-Zetlin algebras in the Reflection Equation algebras, corresponding to Hecke symmetries, mainly to those coming from the quantum groups U_q(sl(N)…
Generalized Harish-Chandra morphism on Reflection Equation algebras
Dimitry Gurevich, Pavel Saponov
We consider the so-called generalized Harish-Chandra morphism, taking the center of the enveloping algebra U(gl(N)) to the commutative algebra generated by eigenvalues of the gener…